OFFSET
0,5
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..10000
David J. Hemmer, Generating functions for fixed points of the Mullineux map, arXiv:2402.03643 [math.CO], 2024.
Vaclav Kotesovec, A method of finding the asymptotics of q-series based on the convolution of generating functions, arXiv:1509.08708 [math.CO], Sep 30 2015, p. 14.
FORMULA
a(n) ~ (-1)^n * exp(sqrt(n)*Pi/2) / (4*sqrt(2)*n^(3/4)).
MAPLE
seq(coeff(series(mul((1+x^(4*k))/(1+x^k), k=1..n), x, n+1), x, n), n=0..60); # Muniru A Asiru, Jul 29 2018
MATHEMATICA
nmax = 100; CoefficientList[Series[Product[(1 + x^(4*k))/(1 + x^k), {k, 1, nmax}], {x, 0, nmax}], x]
CROSSREFS
KEYWORD
sign
AUTHOR
Vaclav Kotesovec, Aug 30 2015
STATUS
approved